88348320 has 240 divisors, whose sum is σ = 330960168. Its totient is φ = 22118400.

The previous prime is 88348301. The next prime is 88348321. The reversal of 88348320 is 2384388.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 88284816 + 63504 = 9396^2 + 252^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (88348321) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 220120 + ... + 220520.

Almost surely, 2^88348320 is an apocalyptic number.

88348320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88348320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165480084).

88348320 is an abundant number, since it is smaller than the sum of its proper divisors (242611848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

88348320 is a wasteful number, since it uses less digits than its factorization.

88348320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 88348320 is about 9399.3787028718. The cubic root of 88348320 is about 445.3821066816.

The spelling of 88348320 in words is "eighty-eight million, three hundred forty-eight thousand, three hundred twenty".